State the null and alternative hypotheses. Choose the correct answer below. A.
Upper H 0H0:
beta 0β0equals=0
Upper H 1H1:
beta 0β0greater than>0
B.
Upper H 0H0:
beta 1β1equals=0
Upper H 1H1:
beta 1β1not equals≠0
C.
Upper H 0H0:
beta 1β1equals=0
Upper H 1H1:
beta 1β1greater than>0
D.
Upper H 0H0:
beta 0β0equals=0
Upper H 1H1:
beta 0β0not equals≠0
Determine the P-value of this hypothesis test.
P-value equals ? (Round to three decimal places asneeded.)
What is the conclusion that can be drawn?
A. Reject
Upper H 0H0
and conclude that a linear relation
does not existdoes not exist
between the 7-day and 28-day strength of a certain type of concrete at the
alphaαequals=0.050.05
level of significance.
B. Do not reject Upper H 0H0 and conclude that a linear relation exists
between the 7-day and 28-day strength of a certain type of concrete at the
alphaαequals=0.050.05
level of significance.
C.
Do not rejectDo not reject
Upper H 0H0
and conclude that a linear relation
does not existdoes not exist
between the 7-day and 28-day strength of a certain type of concrete at the
alphaαequals=0.050.05
level of significance.
D.
RejectReject
Upper H 0H0
and conclude that a linear relation
existsexists
between the 7-day and 28-day strength of a certain type of concrete at the
alphaαequals=0.050.05
level of significance.
(e) Construct a 95% confidence interval about the slope of the true least-squares regression line.
Lower bound:? (Round to three decimal places as needed.)
Upper bound:? (Round to three decimal places as needed.)
(f) What is the estimated mean 28-day strength of this concrete if the 7-day strength is 3000 psi?
A good estimate of the mean 28-day strength is PSI. (Round to two decimal places.)